Advertisement

Scale-invariant scalar metric fluctuations during inflation: non-perturbative formalism from a 5D vacuum

  • M. Anabitarte
  • M. BelliniEmail author
  • José Edgar Madriz Aguilar
Regular Article - Theoretical Physics

Abstract

We extend to 5D an approach of a 4D non-perturbative formalism to study scalar metric fluctuations of a 5D Riemann-flat de Sitter background metric. In contrast with the results obtained in 4D, the spectrum of cosmological scalar metric fluctuations during inflation can be scale invariant and the background inflaton field can take sub-Planckian values.

PACS

04.20.Jb 11.10.Kk 98.80.Cq 

References

  1. 1.
    A. Starobinsky, Phys. Lett. B 91, 99 (1980) CrossRefADSGoogle Scholar
  2. 2.
    A. Guth, Phys. Rev. D 23, 347 (1981) CrossRefADSGoogle Scholar
  3. 3.
    R.L. Smoot et al., Astrophys. J. 396, L1 (1992) CrossRefADSGoogle Scholar
  4. 4.
    A. Albrecht, P.J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982) CrossRefADSGoogle Scholar
  5. 5.
    A. Linde, Phys. Lett. B 116, 335 (1982) CrossRefMathSciNetADSGoogle Scholar
  6. 6.
    M.D. Pollock, Nucl. Phys. B 298, 673 (1988) CrossRefADSGoogle Scholar
  7. 7.
    M. Mijic, Int. J. Mod. Phys. A 6, 2685 (1991) CrossRefMathSciNetADSGoogle Scholar
  8. 8.
    D.S. Salopek, J.R. Bond, Phys. Rev. D 43, 1005 (1991) CrossRefADSGoogle Scholar
  9. 9.
    S. Mollerach, S. Matarrese, A. Ortolan, F. Lucchin, Phys. Rev. D 44, 1670 (1991) CrossRefMathSciNetADSGoogle Scholar
  10. 10.
    J.M. Stewart, Class. Quantum Gravity 8, 909 (1991) zbMATHCrossRefADSGoogle Scholar
  11. 11.
    S. Habib, Phys. Rev. D 46, 2408 (1992) CrossRefMathSciNetADSGoogle Scholar
  12. 12.
    M. Bellini, H. Casini, R. Montemayor, P. Sisterna, Phys. Rev. D 54, 7172 (1996) CrossRefADSGoogle Scholar
  13. 13.
    A. Berera, Phys. Rev. Lett. 75, 3218 (1995) CrossRefADSGoogle Scholar
  14. 14.
    M. Bellini, Phys. Lett. B 428, 31 (1998) CrossRefADSGoogle Scholar
  15. 15.
    A. Berera, M. Gleiser, R.O. Ramos, Phys. Rev. Lett. 83, 264 (1999) CrossRefADSGoogle Scholar
  16. 16.
    M. Bellini, Phys. Rev. D 63, 123510 (2001) CrossRefADSGoogle Scholar
  17. 17.
    M. Bellini, Phys. Rev. D 64, 123508 (2001) CrossRefADSGoogle Scholar
  18. 18.
    A.D. Linde, Phys. Lett. B 129, 177 (1983) CrossRefMathSciNetADSGoogle Scholar
  19. 19.
    A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Reading, 1990) Google Scholar
  20. 20.
    E.W. Kolb, S. Matarrese, A. Notari, A. Riotto, Mod. Phys. Lett. A 20, 2705 (2005) CrossRefADSGoogle Scholar
  21. 21.
    M. Anabitarte, M. Bellini, Eur. Phys. J. C 60, 297 (2009) CrossRefADSGoogle Scholar
  22. 22.
    P.S. Wesson, Space–Time–Matter (World Scientific, Singapore, 1999) zbMATHGoogle Scholar
  23. 23.
    P.S. Wesson, Phys. Lett. B 276, 299 (1992) CrossRefMathSciNetADSGoogle Scholar
  24. 24.
    P.S. Wesson, Mod. Phys. Lett. A 7, 921 (1992) CrossRefADSGoogle Scholar
  25. 25.
    P.S. Wesson, J. Math. Phys. 33, 3883 (1992) zbMATHCrossRefMathSciNetADSGoogle Scholar
  26. 26.
    J. Ponce de Leon, P.S. Wesson, J. Math. Phys. 34, 4080 (1993) zbMATHCrossRefMathSciNetADSGoogle Scholar
  27. 27.
    J.M. Overduin, P.S. Wesson, Phys. Rep. 283, 303 (1997) CrossRefMathSciNetADSGoogle Scholar
  28. 28.
    J. Ponce de Leon, Class. Quantum Gravity 23, 3043 (2006) zbMATHCrossRefMathSciNetGoogle Scholar
  29. 29.
    B. Mashhoon, P.S. Wesson, Gen. Relativ. Gravit. 39, 1403 (2007) zbMATHCrossRefMathSciNetADSGoogle Scholar
  30. 30.
    J.E. Campbell, A Course of Differential Geometry (Clarendon, Oxford, 1926) zbMATHGoogle Scholar
  31. 31.
    L. Magaard, Zur einbettung riemannscher Raume in Einstein-Raume und konformeuclidische Raume. Ph.D. Thesis, Kiel (1963) Google Scholar
  32. 32.
    L. Randall, R. Sundrum, Mod. Phys. Lett. A 13, 2807 (1998) CrossRefGoogle Scholar
  33. 33.
    L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) zbMATHCrossRefMathSciNetADSGoogle Scholar
  34. 34.
    L.F.P. da Silva, J.E. Madriz Aguilar, Mod. Phys. Lett. A 23, 1213 (2008) zbMATHCrossRefADSGoogle Scholar
  35. 35.
    D.S. Ledesma, M. Bellini, Phys. Lett. B 581, 1 (2004) CrossRefADSGoogle Scholar
  36. 36.
    E.J. Copeland, E.W. Kolb, A.R. Liddle, J.E. Lidsey, Phys. Rev. D 48, 2529 (1993) CrossRefADSGoogle Scholar
  37. 37.
    M. Anabitarte, M. Bellini, Eur. Phys. J. C 34, 377 (2004) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2009

Authors and Affiliations

  • M. Anabitarte
    • 1
  • M. Bellini
    • 1
    • 2
    Email author
  • José Edgar Madriz Aguilar
    • 1
    • 3
  1. 1.Departamento de Física, Facultad de Ciencias Exactas y NaturalesUniversidad Nacional de Mar del PlataFunesArgentina
  2. 2.Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)Mar del PlataArgentina
  3. 3.Departamento de Física, DCI, Campus LeónUniversidad de GuanajuatoLeón GuanajuatoMéxico

Personalised recommendations